I meant to write a post carefully defining Amyraldism, but I haven't been able to find some of the data I wanted, so I'll have to postpone that until I do.
So the next thing I wanted to talk about is the common claim that Limited Atonement is a necessary corollary to the rest of Calvinism. Anyone who rejects this idea is simply an inconsistent thinker. Is this true?
Well, first of all, I find any Calvinism short of Hypercalvinism to be illogical anyway. So I have to instead ask, is 4-point Calvinism more illogical that Calvinism in general. My answer is a surprising no.
First of all, I think that Amyraut did a pretty good job explaining an unlimited atonement view. In his view, God first designed the atonement, and designed it in an unlimited manner, and then decided to apply it only to the elect. If we strictly look at the nature of the atonement itself, I don't see any difference between this view, and the Arminian view. The atonement was made for humanity, is infinite in its power, and yet is only applied to the elect. For Limited Atonement to truly be Limited Atonement, Christ had to specifically have in made each individual elect person.
All that said, I don't believe that the average 4-pointer thought as carefully about this as Amyraut did. You may remember that I would define a 4-point Calvinist as a less theologically conscience person than an Amyraldian. As such, a 4-pointer is less logical about their belief in the atonement. However, I would consider such a person is no less logically coherent than a casual Calvinist. They simply view the five points as pieces instead of as a theological system. So again, I can't say that they are more logically inconsistent.
So when asked when a Calvinist accepts Unlimited Atonement, are they being logically inconsistent, I would have to say, probably, but not necessarily. In the end though, any logical inconsistency that may come from a rejection of Limited Atonement is irrelevant to the greater inconsistency of a loving God who elects unconditionally for salvation.